Fix some ordering of the parts of \(\lambda = (\lambda _1, \lambda _2, \dots )\) . By the Murnaghan-Nakayama rule (\(\mathsection \) 7.17 [1]}):
\(|\chi ^{(n-k,1^k)}(\lambda )| \le g^{(n-k,1^k)}(\lambda )\) 
